You can put this solution on YOUR website! You threw a ball straight DOWN at an initial velocity of 32 ft/sec from a platform 384 ft tall. How long will it take to hit the ground?
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Using the equation (both gravity and initial velocity are downward):
-16t^2 - 32t + 384 = 0
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Simplify divide equation by -16
t^2 + 2t - 24 = 0
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Factor:
(t + 6) (t - 4) = 0
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t = + 4 seconds to hit the ground
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Substitute 4 for t in the original equation to check solution
-16(4^2) - 32(4) + 384 = 0